Final answer to the problem
$g^{3}+2g^{2}+g+2+\frac{-14}{g-2}$
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Step-by-step Solution
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- Write in simplest form
- Solve by quadratic formula (general formula)
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- Find the derivative
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- Factor by completing the square
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1
Divide $g^4-3g^2-18$ by $g-2$
$\begin{array}{l}\phantom{\phantom{;}g\phantom{;}-2;}{\phantom{;}g^{3}+2g^{2}+g\phantom{;}+2\phantom{;}\phantom{;}}\\\phantom{;}g\phantom{;}-2\overline{\smash{)}\phantom{;}g^{4}\phantom{-;x^n}-3g^{2}\phantom{-;x^n}-18\phantom{;}\phantom{;}}\\\phantom{\phantom{;}g\phantom{;}-2;}\underline{-g^{4}+2g^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-g^{4}+2g^{3};}\phantom{;}2g^{3}-3g^{2}\phantom{-;x^n}-18\phantom{;}\phantom{;}\\\phantom{\phantom{;}g\phantom{;}-2-;x^n;}\underline{-2g^{3}+4g^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;-2g^{3}+4g^{2}-;x^n;}\phantom{;}g^{2}\phantom{-;x^n}-18\phantom{;}\phantom{;}\\\phantom{\phantom{;}g\phantom{;}-2-;x^n-;x^n;}\underline{-g^{2}+2g\phantom{;}\phantom{-;x^n}}\\\phantom{;;-g^{2}+2g\phantom{;}-;x^n-;x^n;}\phantom{;}2g\phantom{;}-18\phantom{;}\phantom{;}\\\phantom{\phantom{;}g\phantom{;}-2-;x^n-;x^n-;x^n;}\underline{-2g\phantom{;}+4\phantom{;}\phantom{;}}\\\phantom{;;;-2g\phantom{;}+4\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}-14\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve polynomial long division problems step by step online. Simplify the expression (g^4-3g^2+-18)/(g-2). Divide g^4-3g^2-18 by g-2. Resulting polynomial.
Final answer to the problem
$g^{3}+2g^{2}+g+2+\frac{-14}{g-2}$
